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Radicals - Addition Under Squared Radical Times Integer To Integer (Level 1)

This math topic focuses on simplifying mathematical expressions involving radicals (square roots), specifically the addition of terms under a radical combined with multiplication by an integer. It aims to develop skills in operations with radicals, including adding, simplifying, and combining them with integers to reach a simplified answer. The topic is part of a broader introduction to simplifying radicals, suitable for students looking to enhance their understanding of basic radical properties and operations. Each question presents a radical expression requiring simplification, and multiple choice answers are provided for students to select the correct simplified form.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Addition Under Squared Radical Times Integer To Integer

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Simplify the radical.

210−12\sqrt{10 - 1}

Radicals - Addition Under Squared Radical Times Integer To Integer Worksheet

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Math worksheet on 'Radicals - Addition Under Squared Radical Times Integer To Integer (Level 1)'. Part of a broader unit on 'Radicals - Simplifying Intro' Learn online: app.mobius.academy/math/units/radicals_simplifying_intro/
1
Simplify the radical.
A LaTex expression showing 5square root of 16 + 20
a A LaTex expression showing 30square root of 2
b A LaTex expression showing 30
c A LaTex expression showing 26
d A LaTex expression showing 31square root of 4
e A LaTex expression showing 32
f A LaTex expression showing 28
2
Simplify the radical.
A LaTex expression showing 5square root of 1 + 3
a A LaTex expression showing 7
b A LaTex expression showing 10
c A LaTex expression showing 13
d A LaTex expression showing 11square root of 3
e A LaTex expression showing 9
f A LaTex expression showing 12
3
Simplify the radical.
A LaTex expression showing 5square root of 10 - 1
a A LaTex expression showing 18square root of 2
b A LaTex expression showing 11square root of 4
c A LaTex expression showing 14square root of 3
d A LaTex expression showing 15
e A LaTex expression showing 17
f A LaTex expression showing 13square root of 4
4
Simplify the radical.
A LaTex expression showing 3square root of 21 + 4
a A LaTex expression showing 13square root of 3
b A LaTex expression showing 16square root of 3
c A LaTex expression showing 15
d A LaTex expression showing 16
e A LaTex expression showing 11
f A LaTex expression showing 16square root of 2
5
Simplify the radical.
A LaTex expression showing 4square root of 45 - 9
a A LaTex expression showing 24
b A LaTex expression showing 23
c A LaTex expression showing 20
d A LaTex expression showing 20square root of 2
e A LaTex expression showing 21
f A LaTex expression showing 22
6
Simplify the radical.
A LaTex expression showing 3square root of 5 - 1
a A LaTex expression showing 9
b A LaTex expression showing 7
c A LaTex expression showing 8square root of 2
d A LaTex expression showing 2
e A LaTex expression showing 6
f A LaTex expression showing 3
7
Simplify the radical.
A LaTex expression showing 4square root of 5 + 20
a A LaTex expression showing 17
b A LaTex expression showing 22
c A LaTex expression showing 18
d A LaTex expression showing 20
e A LaTex expression showing 17square root of 4
f A LaTex expression showing 22square root of 2